Pith Number

pith:TDZQU6ET

pith:2026:TDZQU6ETTUBXNM5TMFJ27CAUJN

not attested not anchored not stored refs pending

On the completion of $\epsilon$-dense partial Latin squares

Shikang Yu, Tao Feng

arxiv:2606.31143 v1 · 2026-06-30 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TDZQU6ETTUBXNM5TMFJ27CAUJN}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-01T01:17:30.412418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98f30a78939d0376b3b36153af88144b4a3acca891c45083abaea71aa7fd9cfe

Aliases

arxiv: 2606.31143 · arxiv_version: 2606.31143v1 · doi: 10.48550/arxiv.2606.31143 · pith_short_12: TDZQU6ETTUBX · pith_short_16: TDZQU6ETTUBXNM5T · pith_short_8: TDZQU6ET

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/TDZQU6ETTUBXNM5TMFJ27CAUJN \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 98f30a78939d0376b3b36153af88144b4a3acca891c45083abaea71aa7fd9cfe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40c0691a38cfee06d8a07b2791c9e2ccf95895753fffabd051303217b006f516",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-30T05:16:40Z",
    "title_canon_sha256": "f685929ae6cd3f29d9709010d0abd2df802d94bc0f19b190b83041df2f0625fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.31143",
    "kind": "arxiv",
    "version": 1
  }
}